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Mathematics
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huh
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question
10
Remainders of $(1-3i)^{2009}$ when divided by $13+2i$ in $\Bbb{Z}[i]$
Feb 24, 2024
answer
10
Proving that the arithmetic-geometric mean of $1$ and $\sqrt{2}$ is $\pi/\varpi$, where $\varpi$ is the lemniscate constant
Jan 7
question
7
Prove $\sum_{n=-\infty}^{\infty} \frac{e(n \alpha)}{x^2-n^2} = \frac{\pi}{x} \frac{\sin(2 \pi \alpha x) - \sin(2 \pi(\alpha - 1)x)}{1-\cos(2 \pi x)}$
Oct 12, 2024
question
5
Irreducible $p(x) \in \mathbb{Q}[X]$ with roots $r, s$ such that $rs = 1$.
Mar 7, 2024
question
5
Injectivity of the canonical map to the double dual
Apr 6, 2024
question
5
On Theorem 2.7 of Montgomery and Vaughan's MNT
Dec 10, 2024
question
4
An inequality in Iwaniec-Kowalski
Sep 9
answer
4
Showing that the integral $\int_0^\infty \frac{t^3}{\sqrt{t^2+1}} \, e^{-\lambda M \sqrt{t^2+1}} \, J_0(\lambda R t) \,dt$ is given by this expression
Jul 15
question
3
Asymptotic expansion of $\sum_{n \leq x} \frac{\mu^2(n)}{\phi(n)}$
Jan 25
question
3
What numbers can be written uniquely as a sum of two squares?
Mar 30, 2024

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11
Recognizing Euler products